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We introduce a framework to intertwine dynamical processes of differentnature, each with its own distinct network topology, using a multilayer networkapproach. As an example of collective phenomena emerging from the interactionsof multiple dynamical processes, we study a model where neural dynamics andnutrient transport are bidirectionally coupled in such a way that theallocation of the transport process at one layer depends on the degree ofsynchronization at the other layer, and vice versa. We show numerically, and weprove analytically, that the multilayer coupling induces a spontaneousexplosive synchronization and a heterogeneous distribution of allocations,otherwise not present in the two systems considered separately. Our frameworkcan find application to other cases where two or more dynamical processes suchas synchronization, opinion formation, information diffusion, or diseasespreading, are interacting with each other.

Collective phenomena emerging from the interactions between dynamical processes in multiplex networks